A particle of mass $m$ is whirled in horizontal circle with the help of two threads of length $l$ each as shown in figure. Angular velocity equals $\omega$, then

A uniform rod is held at rest against a rough wall and a rough floor. Which of the following represents correct free body diagram of rod? (All standard symbols used)

Force is applied on an object of mass $2 \mathrm{kg}$ at rest on a frictionless horizontal surface as shown in the graph. The speed of object at $t=1 \mathrm{s}$ will be

A block of mass $5 \mathrm{kg}$ is placed on a smooth table and tied from both ends by two masses $3 \mathrm{kg}$ and $2 \mathrm{kg}$ by means of light, inextensible strings passing through pulleys as shown. The tension in the string connecting $5 \mathrm{kg}$ and $3 \mathrm{kg}$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A block is placed on a smooth inclined plane as shown. For what value of horizontal force $F,$ the block will remain at rest?

Figure shows a small ball of mass $m$ held at rest by means of two light and inextensible strings. The tensions in the inclined string at the instant shown and just after cutting the horizontal string are respectively